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# 1 Faraday is equal to:[A] 9650 coulomb[B] 10,000 coulomb[C] 19640 coulomb[D] 96500 coulomb

Last updated date: 25th Feb 2024
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Hint:
Faraday is the unit of electrical charge. Coulomb is also a unit of electrical charge derived by The International System of Units, commonly known as SI.

As we know, Faraday is named after the scientist, Michael Faraday. It is denoted by the symbol F which is a unit for measurement of electrical charge.
And one faraday of electrical charge corresponds to the charge on one mole of electrons.
We can write the above statement as one faraday charge is the product of charge on one electron and the Avogadro’s number, because one mole of electrons is equal to Avogadro’s number.
From the above definition, we can derive the value 1 faraday in terms of coulomb-

$1F={{e}^{-}}\times {{N}_{A}}$

Where,${{e}^{-}}$is the abbreviation for electron and depicts the charge on one electron.
Since the charge on one electron= ${{e}^{-}}=1.602\times {{10}^{-19}}Coulomb$
And Avogadro’s number= $6.023\times {{10}^{23}}$,
Putting these values in the above equation, we will get-

$\therefore 1F={{e}^{-}}\times ({{N}_{A}})=1.602\times {{10}^{-19}}C\times 6.023\times {{10}^{23}}$$\simeq$96500C

Therefore, it is clear from the above derivation that 1Faraday is equal to 96500 coulomb.

So, the correct answer is [D].